Linked Data Explorer

Condition the geometry of numerical algorithms

This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance ---regarding both stability and complexity--- of numerical algorithms. While the role of condition was shaped in the last half-century, so far there has not been a monograph treating this subject in a uniform and systematic way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a condition-based course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming.

"This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance ---regarding both stability and complexity--- of numerical algorithms. While the role of condition was shaped in the last half-century, so far there has not been a monograph treating this subject in a uniform and systematic way. The book puts special emphasis on the probabilistic analysis of numerical algorithms via the analysis of the corresponding condition. The exposition's level increases along the book, starting in the context of linear algebra at an undergraduate level and reaching in its third part the recent developments and partial solutions for Smale's 17th problem which can be explained within a graduate course. Its middle part contains a condition-based course on linear programming that fills a gap between the current elementary expositions of the subject based on the simplex method and those focusing on convex programming."@en

This is a placeholder reference for a entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Burgisser, Peter.

This is a placeholder reference for a Person entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Bürgisser, Peter, 1962-

This is a placeholder reference for a Person entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Cucker, Felipe.

This is a placeholder reference for a Person entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Cucker, Felipe, 1958-

This is a placeholder reference for a Person entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Àlgebra lineal.

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Algorismes.

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Algorithmes.

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Algorithmus

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Anàlisi d'error (Matemàtica)

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Anàlisi numèrica.

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Analyse numérique.

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Conjunts convexos.

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Geometria estocàstica.

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Konditionszahl

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Mathematics.

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

MATHEMATICS / Numerical Analysis

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Numerische Mathematik

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.

Programació (Matemàtica)

This is a placeholder reference for a Topic entity, related to a WorldCat Work entity. Over time, these references will be replaced with persistent URIs to VIAF, FAST, WorldCat, and other Linked Data resources.